Question

In Glade Which values from the set {-6, -4, -3, -1, 0, 2) satisfy this inequality? 1 --x + 3 5 2

Answer 1

We have to solve the inequality equation to get the answer

`\begin{gathered} -(1)/(2)x\text{ + 3 }\ge\text{ 5} \\ \\ -(1)/(2)x\text{ }\ge\text{ 5 - 3} \\ \\ -(1)/(2)x\text{ }\ge\text{ 2} \\ \text{dividing both sides by }-(1)/(2) \\ \\ x\text{ }\leq\text{ }(2)/(-(1)/(2)) \\ \\ x\text{ }\leq2\text{ }*\text{ -}(2)/(1) \\ x\text{ }\leq\text{ -4} \end{gathered}`

The solution says that x is less than or equal to -4, therefore x will contain all values less than -4 and also contain -4. These values are -6 and -4 only.

Therefore, the correct answer is the last option, -6 and -4 only

Note also that when you divide both sides by a negative value, the inequality sign reverses.